Answer: The coefficients are 5, 2, 5, 2 and 4
Step-by-step explanation:
Law of conservation of mass states that mass can neither be created nor be destroyed but it can only be transformed from one form to another form. This also means that total number of individual atoms on reactant side must be equal to the total number of individual atoms on the product side.
A balanced chemical equation always follow this law.
For the given chemical reaction, the balanced equation follows:

By Stoichiometry of the reaction:
5 moles of silicon dioxide reacts with 2 moles of calcium carbide to produce 5 moles of silicon, 2 moles of calcium oxide and 4 moles of carbon dioxide
Hence, the coefficients are 5, 2, 5, 2 and 4